Polynomially based multi-projection methods for Fredholm integral equations of the second kind

DOI10.1016/j.amc.2009.04.053zbMath1176.65160OpenAlexW2002634869MaRDI QIDQ732459

Mitali Madhumita Sahani, Gnaneshwar Nelakanti, Guangqing Long

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.053

zbMATH Keywords

orthogonal polynomialsnumerical examplesFredholm integral equations of the second kindprojection methodsmooth kernelsuper-convergence rates

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (24)

Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations ⋮ SPECTRAL APPROXIMATION METHODS FOR FREDHOLM INTEGRAL EQUATIONS WITH NON-SMOOTH KERNELS ⋮ Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Galerkin and multi-Galerkin methods for weakly singular Volterra-Hammerstein integral equations and their convergence analysis ⋮ Error analysis of reiterated projection methods for Hammerstein integral equations ⋮ Fast and accurate solvers for weakly singular Volterra integral equations in weighted spaces ⋮ Superconvergent multi-Galerkin method for nonlinear Fredholm-Hammerstein integral equations ⋮ Approximated superconvergent methods for Volterra Hammerstein integral equations ⋮ Superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator ⋮ Superconvergence Results for Volterra-Urysohn Integral Equations of Second Kind ⋮ Unnamed Item ⋮ Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations ⋮ Approximation methods for system of linear Fredholm integral equations of second kind ⋮ Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Legendre spectral projection methods for Urysohn integral equations ⋮ Approximation methods for system of nonlinear Fredholm-Hammerstein integral equations ⋮ Approximation methods for second kind weakly singular Volterra integral equations ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials ⋮ Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularity preserving Galerkin method for Hammerstein equations with logarithmic kernel
• Optimal convergence rates for some discrete projection methods
• Discrete polynomial-based Galerkin methods for Fredholm integral equations
• Singularity preserving Galerkin methods for weakly singular Fredholm integral equations
• Improved convergence rates for some discrete Galerkin methods
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Galerkin Methods for Second Kind Integral Equations with Singularities
• Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
• A superconvergence result for solutions of compact operator equations
• Fast Collocation Methods for Second Kind Integral Equations
• Spectral Methods
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Linear integral equations
• The discrete Petrov-Galerkin method for weakly singular integral equations
• A multilevel method for solving operator equations

This page was built for publication: Polynomially based multi-projection methods for Fredholm integral equations of the second kind